Is 1.875×10^8 m/s² the Correct Acceleration for the Electron in the TV Tube?

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SUMMARY

The correct acceleration for an electron traveling in a TV picture tube is not 1.875×10^8 m/s². Using the equation v² = u² + 2as, where the final speed v is 4.50×10^6 m/s, the initial speed u is 0, and the distance s is 1.20 cm (or 1.2×10^-2 m), the proper calculation yields an acceleration value that differs from the initial claim. The subsequent calculations for time and net force must be based on the accurate acceleration value derived from this equation.

PREREQUISITES
  • Understanding of kinematic equations, specifically v² = u² + 2as
  • Knowledge of basic physics concepts such as force, mass, and acceleration
  • Ability to convert units to SI (e.g., cm to m)
  • Familiarity with Newton's second law, F = ma
NEXT STEPS
  • Calculate the correct acceleration using the kinematic equation v² = u² + 2as
  • Determine the time taken to reach the grid using a = (v - u) / t
  • Compute the net force acting on the electron using F = ma
  • Explore the implications of electron acceleration in other contexts, such as cathode ray tubes
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Physics students, educators, and professionals interested in understanding electron dynamics in television tubes and related applications in electronics.

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1. An electron of mass 9.11×10^−31 kg leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is a distance 1.20 cm away. It reaches the grid with a speed of 4.50×10^6 m/s. The accelerating force is constant.
Find the acceleration.
Find the time to reach the grid.
Find the net force. (ignore gravity on the electron)




2. v^2=(u^2)+2*a*s



3. I plugged in the numbers to the equation v^2=(u^2)+2*a*s. to find acceleration, but the anwer (1.875*10^8) was incorrect. Is this the correct equation? The other answers should stem from the acceleration right?
 
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(4.50×10^6 m/s.)^2 = 2*a*(1.2x10^-2)
From the above equation find the value of a
 
Acceleration - Sub into equation v2=u2+2aS -- make sure you only substitute after converting to SI units.

Time - Use Equation a=(v-u)/t (Yes you need to find acceleration first)

Net force - Use equation [tex]\sum[/tex]F=ma

And 1.875*10^8 for acceleration is wrong.

Hope this helps.
 

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